15 Basic Functions #1

Front

What is a rational function?

Back

A rational function is a function that can be expressed as the quotient of two polynomials, where the denominator is not zero.

Front

What is a floor function?

Back

The floor function, denoted as ⌊x⌋, is the greatest integer less than or equal to x.

Front

What is a ceiling function?

Back

The ceiling function, denoted as ⌈x⌉, is the smallest integer greater than or equal to x.

Front

What is a cube root function?

Back

A cube root function is a function of the form f(x) = x^(1/3), which returns the cube root of x.

Front

What is a cube root squared function?

Back

A cube root squared function is a function of the form f(x) = (x^(1/3))^2, which returns the square of the cube root of x.

Front

What is an inverse square function?

Back

An inverse square function is a function of the form f(x) = k/x^2, where k is a constant, and it describes a relationship where the quantity decreases with the square of the distance.

Front

What is an exponential function?

Back

An exponential function is a function of the form f(x) = a * b^x, where a is a constant, b is a positive real number, and x is the exponent.

Front

What is a natural log function?

Back

The natural log function, denoted as ln(x), is the logarithm to the base e, where e is approximately equal to 2.71828.

Front

What is the domain of a rational function?

Back

The domain of a rational function is all real numbers except where the denominator equals zero.

Front

What is the range of a floor function?

Back

The range of a floor function is the set of all integers.